Theorems · Theorem · order theory
Setoid.sup_eq_eqvGen
∀ {α : Type u_1} (r s : Setoid α), r ⊔ s = Relation.EqvGen.setoid fun x y => r x y ∨ s x yThe supremum of two equivalence relations r and s is the equivalence closure of the binary
relation x is related to y by r or s.
- Defined in
- Mathlib.Data.Setoid.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.ofPredproof · cited by 6,101
- InfSet.sInfproof · cited by 935
- Relation.EqvGen.setoidstatement · cited by 10
- Setoid.eqvGen_eqproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Setoid.sup_defproof · cited by 0